Answer:

Step-by-step explanation:
We need to find the value of x so that the value of given function becomes 21 .
We have ,

Now , for finding x ,
For this case we have:
If after 2 hours the marathon runner has traveled 22 kilometers we have:
2h -----------> 22km
Applying a rule of three, we can know the time it takes to run 42km. So, we have:
2h -----------> 22km
x -------------> 42km
Where "x" is the time it takes to travel 42km. Resolving we have:




Thus, after 3.82 hours the marathon runner will travel 42km.
Answer:
3.82 hours
Graph #1: No
Graph #2: Yes
Graph #3: No
Graph #4: No
Graph #5: No
Graph #6: Yes
Reasoning:
The vertical line test is a test that determines wether a graph is a function or a relation. The vertical line test shows that if you construct a vertical line through any point on the graph, then the vertical line should only intercept the graph once for it to be a function.
Answer:
<h2>a = - 4.8</h2>
Step-by-step explanation:
To find the value of a when b=6 we must first find the relationship between them.
The statement
a is inversely proportional to b is written as

where k is the constant of proportionality
When a = 7.2 , b = -4
So we have

k = 7.2 × - 4
k = - 28.8
So the formula for the variation is

When
b = 6
That's

We have the final answer as
<h3>a = - 4.8</h3>
Hope this helps you
Im pretty sure the answer is .52 I got this by subtracting the toatl by the sales tax and then dividing that total by how many pencils were bought : 6.70-.42=6.24, 6.24/12=54